34119792 has 100 divisors (see below), whose sum is σ = 112890096. Its totient is φ = 9745920.

The previous prime is 34119781. The next prime is 34119793. The reversal of 34119792 is 29791143.

It is a super-2 number, since 2×34119792² = 2328320412246528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34119793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7192 + ... + 10952.

Almost surely, 2^34119792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34119792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56445048).

34119792 is an abundant number, since it is smaller than the sum of its proper divisors (78770304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34119792 is a wasteful number, since it uses less digits than its factorization.

34119792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788 (or 3773 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 34119792 is about 5841.2149421161. The cubic root of 34119792 is about 324.3412043377.

It can be divided in two parts, 3411 and 9792, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 34119792 in words is "thirty-four million, one hundred nineteen thousand, seven hundred ninety-two".